Chapter 7: Q. 92 (page 832)

In the following exercises, factor each trinomial of the form $x^{2} + b x + c$
$x^{2} - 3 x - 9$

Short Answer

Expert verified

The factorization of the expression $x^{2} - 3 x - 9$ is not factorable.

Step by step solution

step 1. Given information

Given expression is $x^{2} - 3 x - 9$

Step 2. Find the last terms of the binomial.

The factor of the expression:

The factor of -9	Sum of factor
3, -3	3 + (-3) = 0
1, -9	1 + (-9) = -8

Step 3. Factorization

Among the pair of numbers, there are no pairs with the sum of $- 3$ .

The given expression is $x^{2} - 3 x - 9$ is not factorable because it is prime.

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In the following exercises, factor each trinomial of the form $x^{2} + b x + c$
$x^{2} - 3 x - 9$

Short Answer

Step by step solution

step 1. Given information

Step 2. Find the last terms of the binomial.

Step 3. Factorization

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In the following exercises, factor each trinomial of the form x2+bx+cx2-3x-9

Short Answer

Step by step solution

step 1. Given information

Step 2. Find the last terms of the binomial.

Step 3. Factorization

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Discrete Mathematics

Geometry

Decision Maths

Statistics

Calculus

Study anywhere. Anytime. Across all devices.

In the following exercises, factor each trinomial of the form $x^{2} + b x + c$
$x^{2} - 3 x - 9$